was given this solution, Please advise on the solution
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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I was given this solution, Please advise on the solution
![Explanation of Solution
Given Information:
Diameter of the cylindrical duct d = 6 cm = 0.06m
Ambient air is heated from 22 °C to 44°C
Exit air velocities V, = 1m/s, V2 = 1.5 m/s
Assumptions:
No heat loss from the hating coil to outside air.
Electric power required for the heating coil is,
Power (P) = [Mass flow rate of air ] [Change in enthalpy ]
Power (P) = [pAVmax] [h2 – hj]
= [P D² Vmax ] [C,T2 – C,T1]
%3D
Consider density of air as, p =
1.2 kg/m?
For air Cp = 1.005 kJ/kgK
Power (P) = [1.2 x x 0.06² × 1.5|[1.005][44 – 22]
= 0.1125 kW = 112.5 Watt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4919dfc7-d288-4a4a-9312-34faf489a4d1%2F244c6e45-01f1-436b-82bb-29431a3aa7de%2Fuvunyu5_processed.png&w=3840&q=75)
Transcribed Image Text:Explanation of Solution
Given Information:
Diameter of the cylindrical duct d = 6 cm = 0.06m
Ambient air is heated from 22 °C to 44°C
Exit air velocities V, = 1m/s, V2 = 1.5 m/s
Assumptions:
No heat loss from the hating coil to outside air.
Electric power required for the heating coil is,
Power (P) = [Mass flow rate of air ] [Change in enthalpy ]
Power (P) = [pAVmax] [h2 – hj]
= [P D² Vmax ] [C,T2 – C,T1]
%3D
Consider density of air as, p =
1.2 kg/m?
For air Cp = 1.005 kJ/kgK
Power (P) = [1.2 x x 0.06² × 1.5|[1.005][44 – 22]
= 0.1125 kW = 112.5 Watt
![A hair-dryer used in beauty saloons and homes is shown in Figure 2. The front end of a typical hairdryer is
idealized as a thin-walled cylindrical duct with a 6 cm diameter with a fan at the inlet that blows air over an
electric heating coil, as is shown in the figure. The design of this hairdryer requires two power settings, with
which the air blown over the electric heating coil is heated from the ambient temperature of 22 °C to an outlet
temperature of 44 °C, and with exit air velocities of 1 m/s and 1.5 m/s. Estimate the electric power required for
the heating coil to meet these conditions. Assume that the heat loss from the outside of the dryer duct is
neglected.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4919dfc7-d288-4a4a-9312-34faf489a4d1%2F244c6e45-01f1-436b-82bb-29431a3aa7de%2Fcorsqeu_processed.png&w=3840&q=75)
Transcribed Image Text:A hair-dryer used in beauty saloons and homes is shown in Figure 2. The front end of a typical hairdryer is
idealized as a thin-walled cylindrical duct with a 6 cm diameter with a fan at the inlet that blows air over an
electric heating coil, as is shown in the figure. The design of this hairdryer requires two power settings, with
which the air blown over the electric heating coil is heated from the ambient temperature of 22 °C to an outlet
temperature of 44 °C, and with exit air velocities of 1 m/s and 1.5 m/s. Estimate the electric power required for
the heating coil to meet these conditions. Assume that the heat loss from the outside of the dryer duct is
neglected.
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